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A three-digit number is divisible by 3, 5, and 7. What is the largest such number less than 500?
495 is not divisible by 7, so we can eliminate it.
455 and 490 are not divisible by 3, since a number is divisible by 3 only if the sum of its digits is divisible by 3.
Hence, 420 is the correct answer.
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